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Condition for Strictly Decreasing

A function ha...

Question

A function has a constant slope from x = 0 to x = 5. After that, from x = 6 the slope starts decreasing. Therefore, the function is a .

constant function

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exponential function

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linear function

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non-linear function

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Solution

The correct option is D non-linear function
For a function to be linear, the slope should be constant for all values of x.

It is given that, the function has a constant slope from x = 0 to x = 5. But, the slope started decreasing from x = 6 onwards. So, the slope of the function remains not constant anymore.

Let's plot the graph:

Therefore, it is a non-linear function.

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Similar questions

Function 1: y = 2 x + 3

Function 2: y = \frac{2 x}{3} + 3

Function 3: y = 3 x^{2} - 3

Function 4: Between x = 0 and x = 5,

slope = 4. After x = 5,

slope keeps increasing.

Function 5: Between x = 0 and x = 6,

slope = 2.5. For all values of

x \geq 7, slope = 2.5

Function for City 1: y = 2 x + 3

Function for City 2: y = \frac{2 x}{3} + 3

Function for City 3: y = 3 x^{2} - 3

Function for City 4: Between x = 0 and x = 5,

slope = 4. After x = 5,

slope keeps increasing.

Function for City 5: Between x = 0 and x = 6,

slope = 2.5. For all values of

x \geq 7, slope = 2.5

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